MODUL MATEMATIK TINGKATAN 4 by smapdi62

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									                                           SMK RAJA PEREMPUAN,IPOH
                                          MODUL CEMERLANG 2008/2009

Mata Pelajaran : Matematik                            Tingkatan: 4
________________________________________________________________________

1. x² + y² – (2x – y)² =
   A. -3x²         C. -3x² + 4xy                      7. Given that 2h = h + 3,then h =
   B. -3x ²+ 2y² D. -3x² + 2y² – 4xy                     A. 1               C. 3
                                                         B. 2               D. 4
               m m2  4
2. Express                  as a single
               3       6m                             8. Given that 5(2q – 7) – (3 – 4q) = 4,then the value
     fraction in its simplest form.                      of q
         m2  4               m4                                               7
     A.                   C.                             A. 7              C.
           6m                  6m                                               3
         m 4
            2
                              m4                        B. 3              D. 1
     B.                   D.
            6m                  6m

3. Given that h- k(4 + h) = k,express h in            9. Find the solution of the inequality 5 – h ≤ 2.
   terms of k.                                           A. h ≥ 3           C. h <-4
          5k                   5k                        B. h > 4           D. h ≤ 3
   A. h =             C. h =
           2                 1 k
            5k                2k  4
   B. h =             D. h =                          10. Find all the integers x that satisfy both the
           k 1                  2                        inequalities x < 7 and 13 – 4x ≤ -3 .
                                                          A. 4,5,6            C. 5,6,7
                           1 q                           B. 3,4,5,6          D. 4,5,6,7
4. Given that p =                , then q =
                           2q
        1 2 p                    1 2 p
     A.                       C.                      11.
         1 p                      1 p
                                                                4p – 5q = 23
        1 2 p                     1 2 p
     B.                       D.                                2p + 3q = -5
        1 p                       1 p
                                                            The possible solution for the simultaneous
       3
5.   5      =                                               equations above is
                                                               A. p=3,q= -2      C. p=2,q=-3
                1                  1
     A.                      C.                              B. p=-2,q=3       D. p=-3,q=2
                53                35
            1                    1
     B.                       D. 5
            53                   3                    12.
                                                                         3m – 2n = 5
                                                                              4m = n
6. Simplify n 3       
                       5
                            n7 =                           The value of n for the simultaneous equations
                2                    8                      above is
     A.     n                 C.    n                          A. -4                  C. 1
                                     22                        B. -2                  D. 3
     B.     n                 D.    n
13. Simplify (x – y)² + (x + y)(y – x)          20. A dice is thrown.The event of getting a
       A. 2y² – 2xy        C. 2x² – 2xy             prime number is
       B. 2y² – 2x         D. 2x² – 2y              A. {1,3,5}        C. {2,4,6}
                                                    B. {2,3,5}        D. {1,2,3,4,5,6}

14. Factorise 9x² - 4y²                         21. The number of significant figures of
   A. (3x + 2y)²              C. (3x – 2y)²         0.045
   B. (3x + 2y)(3x – 2y)      D.(2x + 3y)(2x – 2y) A. 1              C. 3
                                                    B. 2              D. 4

15. Express 26 in standard form.
                                                22. The diagram below is a pie chart which
    A. 0.26 x 10 1    C. 2.6 x 10 1
                                                    shows the number of pupils who passed and
    B. 2.6 x 10 1    D. 26 x 10 1                  failed in a Mathematics test.


16. 3.7 x 10 5 + 67000 =
    A. 4.37 x 10 5   C. 4.4 x 10 6                                      Fail
    B. 437 x 10 5   D. 4.4 x 10 6
                                                                 Pass
17. The diagram below shows a straight line
    line PQ on the Cartesian Plane.
                                                    The number of pupils who failed the test is 10.
    The y-intercept is
                                                    Find the number of pupils who passed the test.
       7                                               A. 10         C. 30
            P
                                                       B. 20         D. 40
                 Q
                 F
                 5                              23. The table below shows the frequency
                                                    distribution of the scores obtained by a group
     A. 5             C. (5,0)
                                                    of 20 pupils in a quiz.
     B. 7             D. (0,7)
                                                         Score   0    1    2         3
                                                         Frequency
                                                                 2    6    4         8
18. Find the gradient of the straight line
    Which passes through (1,5) and (-3,4).             Find the mean score
                           1                           A. 1.9        C. 3
    A. 4               C.                              B. 2.1        D. 5
                           4
         9                   2
    B.                D. 
         2                   9                  24. Convert 27.4° to degrees and minutes.
                                                       A. 27° 41’     C. 27° 40’
                                                       B. 27 °24’     D. 27° 44’
19. A coin is tossed, The sample space is
    A. {heads}         C. {head,tails}
    B. {tails}         D. {heads,heads}
25.     (a) Round off the following numbers to 2 significant figures.
               1) 80 526 : …………………….
               2) 0.008326: …………………….
               3) 5.076 : ……………………..

        (b) Round off the following numbers to 3 significant figures.
              1) 60 781 : …………………………...
              2) 1.00764 : …………………………..
              3) 0.052784 : …………………………..

        (c) Express the following numbers in standard form.
              1) 0.0713 : ……………………………
              2) 60 781 : ……………………………
              3) 46.000 : ……………………………

26. Factorise the following
     a) x² + x – 12 =




      b) 2x² – 13x + 6 =




27.
   The Venn diagrams in the answer space shows the universal set
    ξ = A U B U C on the diagram, shade the region which represents

   ( a ) Set A U C’             A                                 B




                                                         C
   ( b ) Set ( A ∩ C ) U B
                                    A                                   B




                                                              C
28. . Diagram 4 shows a solid formed by joining a cuboid and half-cylinder. The radius of half-
cylinder, r = 3 cm and the height, h = 14 cm. The length of the cuboid, AB = 14 cm, the width,
BC = 6 cm and the height, CF = 4 cm.
                                                             r = 3 cm




                                                   E
                                                                        F
                        H
                                                       G
                                                                        4 cm
                                               D
                                                                        C
                        A                                    6 cm
                                       14 cm           B

                                           Diagram 4
By using π = 22
               7
Calculate the volume in cm³ of the :
       (i) half-cylinder
       (ii) cuboid
       (iii) whole solid

29.
Diagram 1 shows three triangles ABC, DEF and GHJ on a Cartesian plane.




                                       Diagram 1
(a)                                        4 
        Transformation Q is a translation  
                                            6
                                           
        Transformation T is a reflection in the y- axis
        Transformation R is a reflection in the line y = 2
        State the coordinates of the image of
        (i)       Point F under transformation Q
        (ii)      Point E under combined transformation RQ
        (iii)     Point D under combined transformation TR

								
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